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Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows. Department Product 1 Product 2 Product 3 3.00 Max A s.t. B C Department A Department B Department C 1.50 P1, P2, P3 20 2.00 0.25 During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $27 for product 1, $27 for product 2, and $32 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P;= units of product i produced, for i = 1, 2, 3.) 1.00 0.25 2.00 2.50 0.25

Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows. Department Product 1 Product 2 Product 3 3.00 Max A s.t. B C Department A Department B Department C 1.50 P1, P2, P3 20 2.00 0.25 During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $27 for product 1, $27 for product 2, and $32 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P;= units of product i produced, for i = 1, 2, 3.) 1.00 0.25 2.00 2.50 0.25

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows. Department Product 1 Product 2 Product 3 Max A s.t. B C Department A Department B Department C 1.50 P1, P2, P320 2.00 0.25 3.00 During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $27 for product 1, $27 for product 2, and $32 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P; = units of product i produced, for i = 1, 2, 3.) 1.00 0.25 2.00 2.50 0.25
Transcribed Image Text:Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows. Department Product 1 Product 2 Product 3 Max A s.t. B C Department A Department B Department C 1.50 P1, P2, P320 2.00 0.25 3.00 During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $27 for product 1, $27 for product 2, and $32 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P; = units of product i produced, for i = 1, 2, 3.) 1.00 0.25 2.00 2.50 0.25
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Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)?
(P1, P2, P3) = 
 
 
 
 
 
 
 
 with profit $ 
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